On the lifespan of solutions to nonlinear Cauchy problems with small analytic data

DOI10.1016/j.jde.2015.09.013zbMath1327.35029OpenAlexW1785306952MaRDI QIDQ888228

Mark Anthony C. Tolentino, Dennis B. Bacani, Hidetoshi Tahara

Publication date: 4 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.09.013

zbMATH Keywords

Cauchy problemnonlinear partial differential equationssmall initial datalifespan

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items

Unique solvability of second order nonlinear totally characteristic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Le problème de Goursat non linéaire
• A note on a theorem of Nirenberg
• On the analytic continuation of solutions to nonlinear partial differential equations
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Nonlinear Cauchy problems with small analytic data
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
• Temps de vie des solutions d'un problème de Cauchy non linéaire
• Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions
• Nonlinear hyperbolic equations
• Singular solutions and prolongation of holomorphic solutions to nonlinear differential equations
• Nonlinear Cauchy problem with weakly oscillating initial data